[tex]e12)a) \sqrt[4]{3} = {3}^{ \frac{1}{4} } = {3}^{0.25} = 1.31[/tex]
[tex] \sqrt{2 } = {2}^{ \frac{1}{2} } = {2}^{0.5} = 1.41[/tex]
[tex] \sqrt[5]{4} = \sqrt[5]{ {2}^{2} } = {2}^{ \frac{2}{5} } = {2}^{0.4} = 1.31[/tex]
[tex] = > \sqrt[4]{3} = \sqrt[5]{4} [/tex]
[tex] = > \sqrt[4]{3} < \sqrt{2} [/tex]
[tex] = > \sqrt[5]{4} < \sqrt{2} [/tex]
[tex]e13)a)mg = \sqrt{8 \times 200 \times 32} [/tex]
[tex]mg = \sqrt{8} \times \sqrt{200 } \times \sqrt{32} [/tex]
[tex]mg = 2 \sqrt{2} \times 10 \sqrt{2} \times 4 \sqrt{2} [/tex]
[tex]mg = 2 \times 10 \times 4 \sqrt{2 \times 2 \times 2} [/tex]
[tex]mg = 80 \sqrt{8} [/tex]
[tex]mg = 80 \times 2 \sqrt{2} [/tex]
[tex]mg = 160 \sqrt{2} [/tex]
